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Finding the Fourth Proportional to 181,071, 249,866.28 and 100,498.56

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Solution

The fourth proportional to 181,071, 249,866.28 and 100,498.56 is: 138,681.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,071 : 249,866.28 = 100,498.56 : x
  2. Step 2: Convert to fraction form
    181,071/249,866.28 = 100,498.56/x
  3. Step 3: Cross multiply
    181,071x = 249,866.28 × 100,498.56
  4. Step 4: Simplify right side
    181,071x = 25,111,201,332.56
  5. Step 5: Solve for x
    x = 25,111,201,332.56/181,071
  6. Step 6: Final answer
    x = 138,681.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.